Wrapping an adhesive sphere with a sheet
arXiv:1103.4926 · doi:10.1103/PhysRevLett.106.174301
Abstract
We study the adhesion of an elastic sheet on a rigid spherical substrate. Gauss'Theorema Egregium shows that this operation necessarily generates metric distortions (i.e. stretching) as well as bending. As a result, a large variety of contact patterns ranging from simple disks to complex branched shapes are observed as a function of both geometrical and material properties. We describe these different morphologies as a function of two non-dimensional parameters comparing respectively bending and stretching energies to adhesion. A complete configuration diagram is finally proposed.
References in corpus (1)
Cited by in corpus (22)
- Geometrical frustration yields fiber formation in self-assembly
- Stamping and wrinkling of elastic plates
- Fracture in Sheets Draped on Curved Surfaces
- Indentation of ultrathin elastic films and the emergence of asymptotic isometry
- A sheet on deformable sphere: "wrinklogami" patterns suppress curvature-induced delamination
- Wrapping liquids, solids, and gases in thin sheets
- Mechanics of nanoscale wrinkling of graphene on a non-developable spherical surface
- Emergent structure of multi-dislocation ground states in curved crystals
- Partial wetting of thin solid sheets under tension
- Delamination from an adhesive sphere: Curvature-induced dewetting versus buckling
- Capillary buckling of a thin film adhering to a sphere
- Capillarity of soft amorphous solids: a microscopic model for surface stress
- Rucks and folds: delamination from a flat rigid substrate under uniaxial compression
- Elastocapillary instability under partial wetting conditions: bending versus buckling
- Conforming nanoparticle sheets to surfaces with Gaussian curvature
- Planar sheets meet negative curvature liquid interfaces
- Overhanging of membranes and filaments adhering to periodic graph substrates
- Sculpting liquids with ultrathin shells
- Elasto-capillary collapse of floating structures - Non-linear response of elastic structures under capillary forces
- Wrinkles, rucks, and folds formed in a heavy sheet on a frictional surface
- Isometric Incompatibility in Growing Elastic Sheets
- Wrinkling of an elastic sheet floating on a liquid sphere